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Finding the Fourth Proportional to 177,788.70, 266,596.65 and 98,819.10

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Solution

The fourth proportional to 177,788.70, 266,596.65 and 98,819.10 is: 148,180.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,788.70 : 266,596.65 = 98,819.10 : x
  2. Step 2: Convert to fraction form
    177,788.70/266,596.65 = 98,819.10/x
  3. Step 3: Cross multiply
    177,788.70x = 266,596.65 × 98,819.10
  4. Step 4: Simplify right side
    177,788.70x = 26,344,841,016.02
  5. Step 5: Solve for x
    x = 26,344,841,016.02/177,788.70
  6. Step 6: Final answer
    x = 148,180.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.